269264486400 has 1296 divisors, whose sum is σ = 1141341261984. Its totient is φ = 55490641920.

The previous prime is 269264486341. The next prime is 269264486417. The reversal of 269264486400 is 4684462962.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6261964779 + ... + 6261964821.

It is an arithmetic number, because the mean of its divisors is an integer number (880664554).

Almost surely, 2^269264486400 is an apocalyptic number.

269264486400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269264486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570670630992).

269264486400 is an abundant number, since it is smaller than the sum of its proper divisors (872076775584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

269264486400 is an equidigital number, since it uses as much as digits as its factorization.

269264486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 269264486400 in words is "two hundred sixty-nine billion, two hundred sixty-four million, four hundred eighty-six thousand, four hundred".